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Finding the Fourth Proportional to 5,697.74, 8,547.29 and 5,386.70

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Solution

The fourth proportional to 5,697.74, 8,547.29 and 5,386.70 is: 8,080.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,697.74 : 8,547.29 = 5,386.70 : x
  2. Step 2: Convert to fraction form
    5,697.74/8,547.29 = 5,386.70/x
  3. Step 3: Cross multiply
    5,697.74x = 8,547.29 × 5,386.70
  4. Step 4: Simplify right side
    5,697.74x = 46,041,617.37
  5. Step 5: Solve for x
    x = 46,041,617.37/5,697.74
  6. Step 6: Final answer
    x = 8,080.69

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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.