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Finding the Fourth Proportional to 4,666.71, 6,440.07 and 2,570.84

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Solution

The fourth proportional to 4,666.71, 6,440.07 and 2,570.84 is: 3,547.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.71 : 6,440.07 = 2,570.84 : x
  2. Step 2: Convert to fraction form
    4,666.71/6,440.07 = 2,570.84/x
  3. Step 3: Cross multiply
    4,666.71x = 6,440.07 × 2,570.84
  4. Step 4: Simplify right side
    4,666.71x = 16,556,357.36
  5. Step 5: Solve for x
    x = 16,556,357.36/4,666.71
  6. Step 6: Final answer
    x = 3,547.76

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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.