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Finding the Fourth Proportional to 4,148, 6,222.36 and 1,070

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Solution

The fourth proportional to 4,148, 6,222.36 and 1,070 is: 1,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,148 : 6,222.36 = 1,070 : x
  2. Step 2: Convert to fraction form
    4,148/6,222.36 = 1,070/x
  3. Step 3: Cross multiply
    4,148x = 6,222.36 × 1,070
  4. Step 4: Simplify right side
    4,148x = 6,657,925.20
  5. Step 5: Solve for x
    x = 6,657,925.20/4,148
  6. Step 6: Final answer
    x = 1,605.09

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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.