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Finding the Fourth Proportional to 4,700.12, 6,480 and 3,904.16

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Solution

The fourth proportional to 4,700.12, 6,480 and 3,904.16 is: 5,382.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,700.12 : 6,480 = 3,904.16 : x
  2. Step 2: Convert to fraction form
    4,700.12/6,480 = 3,904.16/x
  3. Step 3: Cross multiply
    4,700.12x = 6,480 × 3,904.16
  4. Step 4: Simplify right side
    4,700.12x = 25,298,924.40
  5. Step 5: Solve for x
    x = 25,298,924.40/4,700.12
  6. Step 6: Final answer
    x = 5,382.62

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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.