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Finding the Fourth Proportional to 4,339.48, 6,506.34 and 1,416.76

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Solution

The fourth proportional to 4,339.48, 6,506.34 and 1,416.76 is: 2,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.48 : 6,506.34 = 1,416.76 : x
  2. Step 2: Convert to fraction form
    4,339.48/6,506.34 = 1,416.76/x
  3. Step 3: Cross multiply
    4,339.48x = 6,506.34 × 1,416.76
  4. Step 4: Simplify right side
    4,339.48x = 9,217,922.26
  5. Step 5: Solve for x
    x = 9,217,922.26/4,339.48
  6. Step 6: Final answer
    x = 2,124.20

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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.