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Finding the Fourth Proportional to 4,603.68, 6,352.95 and 2,507.82

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Solution

The fourth proportional to 4,603.68, 6,352.95 and 2,507.82 is: 3,460.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,603.68 : 6,352.95 = 2,507.82 : x
  2. Step 2: Convert to fraction form
    4,603.68/6,352.95 = 2,507.82/x
  3. Step 3: Cross multiply
    4,603.68x = 6,352.95 × 2,507.82
  4. Step 4: Simplify right side
    4,603.68x = 15,932,055.07
  5. Step 5: Solve for x
    x = 15,932,055.07/4,603.68
  6. Step 6: Final answer
    x = 3,460.72

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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.