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Finding the Fourth Proportional to 5,703.60, 7,870.65 and 3,313.68

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Solution

The fourth proportional to 5,703.60, 7,870.65 and 3,313.68 is: 4,572.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.60 : 7,870.65 = 3,313.68 : x
  2. Step 2: Convert to fraction form
    5,703.60/7,870.65 = 3,313.68/x
  3. Step 3: Cross multiply
    5,703.60x = 7,870.65 × 3,313.68
  4. Step 4: Simplify right side
    5,703.60x = 26,080,815.49
  5. Step 5: Solve for x
    x = 26,080,815.49/5,703.60
  6. Step 6: Final answer
    x = 4,572.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.