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Finding the Fourth Proportional to 4,697.52, 7,047.44 and 1,776

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Solution

The fourth proportional to 4,697.52, 7,047.44 and 1,776 is: 2,664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,697.52 : 7,047.44 = 1,776 : x
  2. Step 2: Convert to fraction form
    4,697.52/7,047.44 = 1,776/x
  3. Step 3: Cross multiply
    4,697.52x = 7,047.44 × 1,776
  4. Step 4: Simplify right side
    4,697.52x = 12,516,253.44
  5. Step 5: Solve for x
    x = 12,516,253.44/4,697.52
  6. Step 6: Final answer
    x = 2,664.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.