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Finding the Fourth Proportional to 5,038.48, 7,541.76 and 2,840.68

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Solution

The fourth proportional to 5,038.48, 7,541.76 and 2,840.68 is: 4,252.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.48 : 7,541.76 = 2,840.68 : x
  2. Step 2: Convert to fraction form
    5,038.48/7,541.76 = 2,840.68/x
  3. Step 3: Cross multiply
    5,038.48x = 7,541.76 × 2,840.68
  4. Step 4: Simplify right side
    5,038.48x = 21,423,726.80
  5. Step 5: Solve for x
    x = 21,423,726.80/5,038.48
  6. Step 6: Final answer
    x = 4,252.02

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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.