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Finding the Fourth Proportional to 5,723.60, 7,897.96 and 4,547.60

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Solution

The fourth proportional to 5,723.60, 7,897.96 and 4,547.60 is: 6,275.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.60 : 7,897.96 = 4,547.60 : x
  2. Step 2: Convert to fraction form
    5,723.60/7,897.96 = 4,547.60/x
  3. Step 3: Cross multiply
    5,723.60x = 7,897.96 × 4,547.60
  4. Step 4: Simplify right side
    5,723.60x = 35,916,762.90
  5. Step 5: Solve for x
    x = 35,916,762.90/5,723.60
  6. Step 6: Final answer
    x = 6,275.20

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