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Finding the Fourth Proportional to 4,547.07, 6,820.61 and 1,625.20

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Solution

The fourth proportional to 4,547.07, 6,820.61 and 1,625.20 is: 2,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.07 : 6,820.61 = 1,625.20 : x
  2. Step 2: Convert to fraction form
    4,547.07/6,820.61 = 1,625.20/x
  3. Step 3: Cross multiply
    4,547.07x = 6,820.61 × 1,625.20
  4. Step 4: Simplify right side
    4,547.07x = 11,084,830.19
  5. Step 5: Solve for x
    x = 11,084,830.19/4,547.07
  6. Step 6: Final answer
    x = 2,437.80

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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.