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Finding the Fourth Proportional to 4,501.24, 6,753.24 and 1,580.16

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Solution

The fourth proportional to 4,501.24, 6,753.24 and 1,580.16 is: 2,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501.24 : 6,753.24 = 1,580.16 : x
  2. Step 2: Convert to fraction form
    4,501.24/6,753.24 = 1,580.16/x
  3. Step 3: Cross multiply
    4,501.24x = 6,753.24 × 1,580.16
  4. Step 4: Simplify right side
    4,501.24x = 10,671,199.72
  5. Step 5: Solve for x
    x = 10,671,199.72/4,501.24
  6. Step 6: Final answer
    x = 2,370.72

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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.