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Finding the Fourth Proportional to 4,658.63, 6,428.88 and 2,534.10

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Solution

The fourth proportional to 4,658.63, 6,428.88 and 2,534.10 is: 3,497.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.63 : 6,428.88 = 2,534.10 : x
  2. Step 2: Convert to fraction form
    4,658.63/6,428.88 = 2,534.10/x
  3. Step 3: Cross multiply
    4,658.63x = 6,428.88 × 2,534.10
  4. Step 4: Simplify right side
    4,658.63x = 16,291,424.81
  5. Step 5: Solve for x
    x = 16,291,424.81/4,658.63
  6. Step 6: Final answer
    x = 3,497.05

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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.