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Finding the Fourth Proportional to 4,840.88, 6,686.52 and 4,210.16

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Solution

The fourth proportional to 4,840.88, 6,686.52 and 4,210.16 is: 5,815.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,840.88 : 6,686.52 = 4,210.16 : x
  2. Step 2: Convert to fraction form
    4,840.88/6,686.52 = 4,210.16/x
  3. Step 3: Cross multiply
    4,840.88x = 6,686.52 × 4,210.16
  4. Step 4: Simplify right side
    4,840.88x = 28,151,319.04
  5. Step 5: Solve for x
    x = 28,151,319.04/4,840.88
  6. Step 6: Final answer
    x = 5,815.33

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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.