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Finding the Fourth Proportional to 5,704.76, 7,870.02 and 3,345.52

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Solution

The fourth proportional to 5,704.76, 7,870.02 and 3,345.52 is: 4,615.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.76 : 7,870.02 = 3,345.52 : x
  2. Step 2: Convert to fraction form
    5,704.76/7,870.02 = 3,345.52/x
  3. Step 3: Cross multiply
    5,704.76x = 7,870.02 × 3,345.52
  4. Step 4: Simplify right side
    5,704.76x = 26,329,309.31
  5. Step 5: Solve for x
    x = 26,329,309.31/5,704.76
  6. Step 6: Final answer
    x = 4,615.32

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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.