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Finding the Fourth Proportional to 5,700.48, 7,866.88 and 4,705.28

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Solution

The fourth proportional to 5,700.48, 7,866.88 and 4,705.28 is: 6,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.48 : 7,866.88 = 4,705.28 : x
  2. Step 2: Convert to fraction form
    5,700.48/7,866.88 = 4,705.28/x
  3. Step 3: Cross multiply
    5,700.48x = 7,866.88 × 4,705.28
  4. Step 4: Simplify right side
    5,700.48x = 37,015,873.13
  5. Step 5: Solve for x
    x = 37,015,873.13/5,700.48
  6. Step 6: Final answer
    x = 6,493.47

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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.