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Finding the Fourth Proportional to 3,117.83, 4,303.16 and 1,858.97

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Solution

The fourth proportional to 3,117.83, 4,303.16 and 1,858.97 is: 2,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.83 : 4,303.16 = 1,858.97 : x
  2. Step 2: Convert to fraction form
    3,117.83/4,303.16 = 1,858.97/x
  3. Step 3: Cross multiply
    3,117.83x = 4,303.16 × 1,858.97
  4. Step 4: Simplify right side
    3,117.83x = 7,999,429.57
  5. Step 5: Solve for x
    x = 7,999,429.57/3,117.83
  6. Step 6: Final answer
    x = 2,565.70

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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.