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Finding the Fourth Proportional to 4,501.64, 6,753.28 and 1,580.24

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Solution

The fourth proportional to 4,501.64, 6,753.28 and 1,580.24 is: 2,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,501.64 : 6,753.28 = 1,580.24 : x
  2. Step 2: Convert to fraction form
    4,501.64/6,753.28 = 1,580.24/x
  3. Step 3: Cross multiply
    4,501.64x = 6,753.28 × 1,580.24
  4. Step 4: Simplify right side
    4,501.64x = 10,671,803.19
  5. Step 5: Solve for x
    x = 10,671,803.19/4,501.64
  6. Step 6: Final answer
    x = 2,370.65

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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.