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Finding the Fourth Proportional to 4,547.63, 6,820.25 and 3,065.98

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Solution

The fourth proportional to 4,547.63, 6,820.25 and 3,065.98 is: 4,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.63 : 6,820.25 = 3,065.98 : x
  2. Step 2: Convert to fraction form
    4,547.63/6,820.25 = 3,065.98/x
  3. Step 3: Cross multiply
    4,547.63x = 6,820.25 × 3,065.98
  4. Step 4: Simplify right side
    4,547.63x = 20,910,750.10
  5. Step 5: Solve for x
    x = 20,910,750.10/4,547.63
  6. Step 6: Final answer
    x = 4,598.16

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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.