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Finding the Fourth Proportional to 4,695.60, 6,482.52 and 3,126

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Solution

The fourth proportional to 4,695.60, 6,482.52 and 3,126 is: 4,315.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.60 : 6,482.52 = 3,126 : x
  2. Step 2: Convert to fraction form
    4,695.60/6,482.52 = 3,126/x
  3. Step 3: Cross multiply
    4,695.60x = 6,482.52 × 3,126
  4. Step 4: Simplify right side
    4,695.60x = 20,264,357.52
  5. Step 5: Solve for x
    x = 20,264,357.52/4,695.60
  6. Step 6: Final answer
    x = 4,315.61

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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.