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Finding the Fourth Proportional to 4,699.77, 6,477.57 and 4,098.52

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Solution

The fourth proportional to 4,699.77, 6,477.57 and 4,098.52 is: 5,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.77 : 6,477.57 = 4,098.52 : x
  2. Step 2: Convert to fraction form
    4,699.77/6,477.57 = 4,098.52/x
  3. Step 3: Cross multiply
    4,699.77x = 6,477.57 × 4,098.52
  4. Step 4: Simplify right side
    4,699.77x = 26,548,397.32
  5. Step 5: Solve for x
    x = 26,548,397.32/4,699.77
  6. Step 6: Final answer
    x = 5,648.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.