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Finding the Fourth Proportional to 4,706.58, 6,496.35 and 2,937.12

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Solution

The fourth proportional to 4,706.58, 6,496.35 and 2,937.12 is: 4,054.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.58 : 6,496.35 = 2,937.12 : x
  2. Step 2: Convert to fraction form
    4,706.58/6,496.35 = 2,937.12/x
  3. Step 3: Cross multiply
    4,706.58x = 6,496.35 × 2,937.12
  4. Step 4: Simplify right side
    4,706.58x = 19,080,559.51
  5. Step 5: Solve for x
    x = 19,080,559.51/4,706.58
  6. Step 6: Final answer
    x = 4,054.02

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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.