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Finding the Fourth Proportional to 4,658.13, 6,986.48 and 1,370.61

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Solution

The fourth proportional to 4,658.13, 6,986.48 and 1,370.61 is: 2,055.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.13 : 6,986.48 = 1,370.61 : x
  2. Step 2: Convert to fraction form
    4,658.13/6,986.48 = 1,370.61/x
  3. Step 3: Cross multiply
    4,658.13x = 6,986.48 × 1,370.61
  4. Step 4: Simplify right side
    4,658.13x = 9,575,732.50
  5. Step 5: Solve for x
    x = 9,575,732.50/4,658.13
  6. Step 6: Final answer
    x = 2,055.70

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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.