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Finding the Fourth Proportional to 5,075.60, 7,007.40 and 4,761.86

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Solution

The fourth proportional to 5,075.60, 7,007.40 and 4,761.86 is: 6,574.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.60 : 7,007.40 = 4,761.86 : x
  2. Step 2: Convert to fraction form
    5,075.60/7,007.40 = 4,761.86/x
  3. Step 3: Cross multiply
    5,075.60x = 7,007.40 × 4,761.86
  4. Step 4: Simplify right side
    5,075.60x = 33,368,257.76
  5. Step 5: Solve for x
    x = 33,368,257.76/5,075.60
  6. Step 6: Final answer
    x = 6,574.25

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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.