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Finding the Fourth Proportional to 4,705.16, 7,056.05 and 1,417.23

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Solution

The fourth proportional to 4,705.16, 7,056.05 and 1,417.23 is: 2,125.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,705.16 : 7,056.05 = 1,417.23 : x
  2. Step 2: Convert to fraction form
    4,705.16/7,056.05 = 1,417.23/x
  3. Step 3: Cross multiply
    4,705.16x = 7,056.05 × 1,417.23
  4. Step 4: Simplify right side
    4,705.16x = 10,000,038.66
  5. Step 5: Solve for x
    x = 10,000,038.66/4,705.16
  6. Step 6: Final answer
    x = 2,125.34

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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.