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Finding the Fourth Proportional to 3,106.34, 4,656.14 and 1,547.51

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Solution

The fourth proportional to 3,106.34, 4,656.14 and 1,547.51 is: 2,319.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.34 : 4,656.14 = 1,547.51 : x
  2. Step 2: Convert to fraction form
    3,106.34/4,656.14 = 1,547.51/x
  3. Step 3: Cross multiply
    3,106.34x = 4,656.14 × 1,547.51
  4. Step 4: Simplify right side
    3,106.34x = 7,205,415.44
  5. Step 5: Solve for x
    x = 7,205,415.44/3,106.34
  6. Step 6: Final answer
    x = 2,319.58

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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.