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Finding the Fourth Proportional to 4,652.58, 6,408.08 and 4,302.24

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Solution

The fourth proportional to 4,652.58, 6,408.08 and 4,302.24 is: 5,925.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.58 : 6,408.08 = 4,302.24 : x
  2. Step 2: Convert to fraction form
    4,652.58/6,408.08 = 4,302.24/x
  3. Step 3: Cross multiply
    4,652.58x = 6,408.08 × 4,302.24
  4. Step 4: Simplify right side
    4,652.58x = 27,569,098.10
  5. Step 5: Solve for x
    x = 27,569,098.10/4,652.58
  6. Step 6: Final answer
    x = 5,925.55

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1.5x scale

Why These Related Problems?

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