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Finding the Fourth Proportional to 5,068.47, 7,603.40 and 1,780.81

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Solution

The fourth proportional to 5,068.47, 7,603.40 and 1,780.81 is: 2,671.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,068.47 : 7,603.40 = 1,780.81 : x
  2. Step 2: Convert to fraction form
    5,068.47/7,603.40 = 1,780.81/x
  3. Step 3: Cross multiply
    5,068.47x = 7,603.40 × 1,780.81
  4. Step 4: Simplify right side
    5,068.47x = 13,540,210.75
  5. Step 5: Solve for x
    x = 13,540,210.75/5,068.47
  6. Step 6: Final answer
    x = 2,671.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.