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Finding the Fourth Proportional to 4,804.04, 6,616.28 and 4,140.65

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Solution

The fourth proportional to 4,804.04, 6,616.28 and 4,140.65 is: 5,702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,804.04 : 6,616.28 = 4,140.65 : x
  2. Step 2: Convert to fraction form
    4,804.04/6,616.28 = 4,140.65/x
  3. Step 3: Cross multiply
    4,804.04x = 6,616.28 × 4,140.65
  4. Step 4: Simplify right side
    4,804.04x = 27,395,726.67
  5. Step 5: Solve for x
    x = 27,395,726.67/4,804.04
  6. Step 6: Final answer
    x = 5,702.64

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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.