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Finding the Fourth Proportional to 6,038.10, 9,056.54 and 1,656.20

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Solution

The fourth proportional to 6,038.10, 9,056.54 and 1,656.20 is: 2,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.10 : 9,056.54 = 1,656.20 : x
  2. Step 2: Convert to fraction form
    6,038.10/9,056.54 = 1,656.20/x
  3. Step 3: Cross multiply
    6,038.10x = 9,056.54 × 1,656.20
  4. Step 4: Simplify right side
    6,038.10x = 14,999,468.33
  5. Step 5: Solve for x
    x = 14,999,468.33/6,038.10
  6. Step 6: Final answer
    x = 2,484.14

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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.