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Finding the Fourth Proportional to 5,658.18, 8,484.43 and 1,762.08

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Solution

The fourth proportional to 5,658.18, 8,484.43 and 1,762.08 is: 2,642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.18 : 8,484.43 = 1,762.08 : x
  2. Step 2: Convert to fraction form
    5,658.18/8,484.43 = 1,762.08/x
  3. Step 3: Cross multiply
    5,658.18x = 8,484.43 × 1,762.08
  4. Step 4: Simplify right side
    5,658.18x = 14,950,244.41
  5. Step 5: Solve for x
    x = 14,950,244.41/5,658.18
  6. Step 6: Final answer
    x = 2,642.24

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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.